Please help me ASAP!!!!!!!

Question

asked Nov 12, 2023 187k views

1 Answer

Dave Durbin · Answer 1 · 2023-11-16T14:15:30+0000

Question:

Solution:

Consider the following functions:

$f(x)\text{ = 7x}$

and

$g(x)\text{ = x+ 8}$

Thus, we have the following compositions:

$(f\circ g)(x)\text{ = f(g(x)) = 7g(x) = 7(x+8) = 7x +56}$

and

$(g\circ f)(x)\text{ = }g(f(x))\text{ = f(x)+8 = 7x+8}$

then we can conclude that:

$(f\circ g)(x)\text{ = 7x +56}$

and

$(g\circ f)(x)\text{ = }g(f(x))\text{ =7x+8}$

and both compositions are not the same (does not equal).